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Finding the Third Proportional to 2,743,420 and 3,700,734

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Solution

The third proportional to 2,743,420 and 3,700,734 is: 4,992,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743,420 : 3,700,734 = 3,700,734 : x
  2. Step 2: Convert to fraction form
    2,743,420/3,700,734 = 3,700,734/x
  3. Step 3: Cross multiply
    2,743,420x = 3,700,734 × 3,700,734
  4. Step 4: Simplify right side
    2,743,420x = 13,695,432,138,756
  5. Step 5: Solve for x
    x = 13,695,432,138,756/2,743,420
  6. Step 6: Final answer
    x = 4,992,101.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.